Small-Model and Measurement-Error Sensitivities

Abstract

In this chapter, the local sensitivities of the estimated state variables with respect to the uncertain line lengths and inaccurate (pseudo-) measurements in a three-phase distribution network for different measurement configurations and different estimators are investigated. The approach with a perturbation of the KKT conditions, which is agnostic to the choice of the estimator, is presented and implemented. The analysis was performed for a full three-phase branch-network model. The implemented estimators were the LAV, WLS, and SHGM. Based on the results and the selected optimization criterion, the optimal estimator is proposed.